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5. Consider eigenfunction solutions to the linear momentum operator in one dimension.
a) Show that the functional form of Ae±ikx is an eigenfunction of p. Find the eigenvalues.
b) Is Aelkx + Be-ikx an eigenfunction of the linear momentum operator? If yes, what is its eigenvalue?
c) Is Aeikx + Be¬ikx an eigenfunction of the kinetic energy operator? If yes, what is its eigenvalue?

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